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Finding the Fourth Proportional to 400,088.36, 599,947.84 and 147,305.36

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Solution

The fourth proportional to 400,088.36, 599,947.84 and 147,305.36 is: 220,890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,088.36 : 599,947.84 = 147,305.36 : x
  2. Step 2: Convert to fraction form
    400,088.36/599,947.84 = 147,305.36/x
  3. Step 3: Cross multiply
    400,088.36x = 599,947.84 × 147,305.36
  4. Step 4: Simplify right side
    400,088.36x = 88,375,532,552.42
  5. Step 5: Solve for x
    x = 88,375,532,552.42/400,088.36
  6. Step 6: Final answer
    x = 220,890.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.